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Finding the Third Proportional to 101,878,165.13 and 158,870,701.69

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Solution

The third proportional to 101,878,165.13 and 158,870,701.69 is: 247,745,921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,878,165.13 : 158,870,701.69 = 158,870,701.69 : x
  2. Step 2: Convert to fraction form
    101,878,165.13/158,870,701.69 = 158,870,701.69/x
  3. Step 3: Cross multiply
    101,878,165.13x = 158,870,701.69 × 158,870,701.69
  4. Step 4: Simplify right side
    101,878,165.13x = 25,239,899,854,678,616
  5. Step 5: Solve for x
    x = 25,239,899,854,678,616/101,878,165.13
  6. Step 6: Final answer
    x = 247,745,921.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.