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Finding the Third Proportional to 252,834,266,862.50 and 365,301,854,168.25

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Solution

The third proportional to 252,834,266,862.50 and 365,301,854,168.25 is: 527,798,096,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,834,266,862.50 : 365,301,854,168.25 = 365,301,854,168.25 : x
  2. Step 2: Convert to fraction form
    252,834,266,862.50/365,301,854,168.25 = 365,301,854,168.25/x
  3. Step 3: Cross multiply
    252,834,266,862.50x = 365,301,854,168.25 × 365,301,854,168.25
  4. Step 4: Simplify right side
    252,834,266,862.50x = 133,445,444,658,761,392,193,536
  5. Step 5: Solve for x
    x = 133,445,444,658,761,392,193,536/252,834,266,862.50
  6. Step 6: Final answer
    x = 527,798,096,020.48

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.