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Finding the Third Proportional to 240,596,175,255 and 516,118,816,579.50

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Solution

The third proportional to 240,596,175,255 and 516,118,816,579.50 is: 1,107,160,712,530.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,596,175,255 : 516,118,816,579.50 = 516,118,816,579.50 : x
  2. Step 2: Convert to fraction form
    240,596,175,255/516,118,816,579.50 = 516,118,816,579.50/x
  3. Step 3: Cross multiply
    240,596,175,255x = 516,118,816,579.50 × 516,118,816,579.50
  4. Step 4: Simplify right side
    240,596,175,255x = 266,378,632,827,423,571,312,640
  5. Step 5: Solve for x
    x = 266,378,632,827,423,571,312,640/240,596,175,255
  6. Step 6: Final answer
    x = 1,107,160,712,530.44

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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.