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Finding the Third Proportional to 227,834,032.50 and 497,064,593.25

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Solution

The third proportional to 227,834,032.50 and 497,064,593.25 is: 1,084,443,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,834,032.50 : 497,064,593.25 = 497,064,593.25 : x
  2. Step 2: Convert to fraction form
    227,834,032.50/497,064,593.25 = 497,064,593.25/x
  3. Step 3: Cross multiply
    227,834,032.50x = 497,064,593.25 × 497,064,593.25
  4. Step 4: Simplify right side
    227,834,032.50x = 247,073,209,862,787,936
  5. Step 5: Solve for x
    x = 247,073,209,862,787,936/227,834,032.50
  6. Step 6: Final answer
    x = 1,084,443,825.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.