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Finding the Third Proportional to 125,162,968.50 and 271,872,595.13

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Solution

The third proportional to 125,162,968.50 and 271,872,595.13 is: 590,547,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,162,968.50 : 271,872,595.13 = 271,872,595.13 : x
  2. Step 2: Convert to fraction form
    125,162,968.50/271,872,595.13 = 271,872,595.13/x
  3. Step 3: Cross multiply
    125,162,968.50x = 271,872,595.13 × 271,872,595.13
  4. Step 4: Simplify right side
    125,162,968.50x = 73,914,707,980,002,176
  5. Step 5: Solve for x
    x = 73,914,707,980,002,176/125,162,968.50
  6. Step 6: Final answer
    x = 590,547,738.41

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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.