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Finding the Third Proportional to 107,309,940.75 and 232,447,155.75

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Solution

The third proportional to 107,309,940.75 and 232,447,155.75 is: 503,510,484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,309,940.75 : 232,447,155.75 = 232,447,155.75 : x
  2. Step 2: Convert to fraction form
    107,309,940.75/232,447,155.75 = 232,447,155.75/x
  3. Step 3: Cross multiply
    107,309,940.75x = 232,447,155.75 × 232,447,155.75
  4. Step 4: Simplify right side
    107,309,940.75x = 54,031,680,216,264,760
  5. Step 5: Solve for x
    x = 54,031,680,216,264,760/107,309,940.75
  6. Step 6: Final answer
    x = 503,510,484.10

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.