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Finding the Third Proportional to 240,596,175,250.55 and 516,118,816,570.90

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Solution

The third proportional to 240,596,175,250.55 and 516,118,816,570.90 is: 1,107,160,712,514.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,596,175,250.55 : 516,118,816,570.90 = 516,118,816,570.90 : x
  2. Step 2: Convert to fraction form
    240,596,175,250.55/516,118,816,570.90 = 516,118,816,570.90/x
  3. Step 3: Cross multiply
    240,596,175,250.55x = 516,118,816,570.90 × 516,118,816,570.90
  4. Step 4: Simplify right side
    240,596,175,250.55x = 266,378,632,818,546,343,673,856
  5. Step 5: Solve for x
    x = 266,378,632,818,546,343,673,856/240,596,175,250.55
  6. Step 6: Final answer
    x = 1,107,160,712,514.02

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