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Finding the Third Proportional to 240,596,175,258 and 516,118,816,585.50

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Solution

The third proportional to 240,596,175,258 and 516,118,816,585.50 is: 1,107,160,712,542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,596,175,258 : 516,118,816,585.50 = 516,118,816,585.50 : x
  2. Step 2: Convert to fraction form
    240,596,175,258/516,118,816,585.50 = 516,118,816,585.50/x
  3. Step 3: Cross multiply
    240,596,175,258x = 516,118,816,585.50 × 516,118,816,585.50
  4. Step 4: Simplify right side
    240,596,175,258x = 266,378,632,833,616,981,262,336
  5. Step 5: Solve for x
    x = 266,378,632,833,616,981,262,336/240,596,175,258
  6. Step 6: Final answer
    x = 1,107,160,712,542.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.