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Finding the Third Proportional to 266,076,265.50 and 568,924,019.16

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Solution

The third proportional to 266,076,265.50 and 568,924,019.16 is: 1,216,472,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,076,265.50 : 568,924,019.16 = 568,924,019.16 : x
  2. Step 2: Convert to fraction form
    266,076,265.50/568,924,019.16 = 568,924,019.16/x
  3. Step 3: Cross multiply
    266,076,265.50x = 568,924,019.16 × 568,924,019.16
  4. Step 4: Simplify right side
    266,076,265.50x = 323,674,539,572,901,120
  5. Step 5: Solve for x
    x = 323,674,539,572,901,120/266,076,265.50
  6. Step 6: Final answer
    x = 1,216,472,799.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.