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Finding the Third Proportional to 239,456,179.13 and 514,707,139.13

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Solution

The third proportional to 239,456,179.13 and 514,707,139.13 is: 1,106,354,574.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,456,179.13 : 514,707,139.13 = 514,707,139.13 : x
  2. Step 2: Convert to fraction form
    239,456,179.13/514,707,139.13 = 514,707,139.13/x
  3. Step 3: Cross multiply
    239,456,179.13x = 514,707,139.13 × 514,707,139.13
  4. Step 4: Simplify right side
    239,456,179.13x = 264,923,439,066,242,112
  5. Step 5: Solve for x
    x = 264,923,439,066,242,112/239,456,179.13
  6. Step 6: Final answer
    x = 1,106,354,574.08

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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.