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Finding the Third Proportional to 81,707,491.13 and 175,071,611.25

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Solution

The third proportional to 81,707,491.13 and 175,071,611.25 is: 375,119,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,707,491.13 : 175,071,611.25 = 175,071,611.25 : x
  2. Step 2: Convert to fraction form
    81,707,491.13/175,071,611.25 = 175,071,611.25/x
  3. Step 3: Cross multiply
    81,707,491.13x = 175,071,611.25 × 175,071,611.25
  4. Step 4: Simplify right side
    81,707,491.13x = 30,650,069,065,671,128
  5. Step 5: Solve for x
    x = 30,650,069,065,671,128/81,707,491.13
  6. Step 6: Final answer
    x = 375,119,449.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.