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Finding the Third Proportional to 102,007,792.50 and 220,135,719

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Solution

The third proportional to 102,007,792.50 and 220,135,719 is: 475,059,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,007,792.50 : 220,135,719 = 220,135,719 : x
  2. Step 2: Convert to fraction form
    102,007,792.50/220,135,719 = 220,135,719/x
  3. Step 3: Cross multiply
    102,007,792.50x = 220,135,719 × 220,135,719
  4. Step 4: Simplify right side
    102,007,792.50x = 48,459,734,779,646,960
  5. Step 5: Solve for x
    x = 48,459,734,779,646,960/102,007,792.50
  6. Step 6: Final answer
    x = 475,059,145.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.