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Finding the Third Proportional to 52,955,488.13 and 123,660,055.69

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Solution

The third proportional to 52,955,488.13 and 123,660,055.69 is: 288,767,225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,955,488.13 : 123,660,055.69 = 123,660,055.69 : x
  2. Step 2: Convert to fraction form
    52,955,488.13/123,660,055.69 = 123,660,055.69/x
  3. Step 3: Cross multiply
    52,955,488.13x = 123,660,055.69 × 123,660,055.69
  4. Step 4: Simplify right side
    52,955,488.13x = 15,291,809,372,635,602
  5. Step 5: Solve for x
    x = 15,291,809,372,635,602/52,955,488.13
  6. Step 6: Final answer
    x = 288,767,225.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.