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Finding the Third Proportional to 71,017,050.38 and 152,820,384.75

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Solution

The third proportional to 71,017,050.38 and 152,820,384.75 is: 328,851,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,017,050.38 : 152,820,384.75 = 152,820,384.75 : x
  2. Step 2: Convert to fraction form
    71,017,050.38/152,820,384.75 = 152,820,384.75/x
  3. Step 3: Cross multiply
    71,017,050.38x = 152,820,384.75 × 152,820,384.75
  4. Step 4: Simplify right side
    71,017,050.38x = 23,354,069,995,138,032
  5. Step 5: Solve for x
    x = 23,354,069,995,138,032/71,017,050.38
  6. Step 6: Final answer
    x = 328,851,590.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.