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Finding the Third Proportional to 205,541,689.50 and 485,057,499.75

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Solution

The third proportional to 205,541,689.50 and 485,057,499.75 is: 1,144,686,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,541,689.50 : 485,057,499.75 = 485,057,499.75 : x
  2. Step 2: Convert to fraction form
    205,541,689.50/485,057,499.75 = 485,057,499.75/x
  3. Step 3: Cross multiply
    205,541,689.50x = 485,057,499.75 × 485,057,499.75
  4. Step 4: Simplify right side
    205,541,689.50x = 235,280,778,063,721,248
  5. Step 5: Solve for x
    x = 235,280,778,063,721,248/205,541,689.50
  6. Step 6: Final answer
    x = 1,144,686,407.10

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.