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Finding the Third Proportional to 56,615,179.50 and 123,828,013.50

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Solution

The third proportional to 56,615,179.50 and 123,828,013.50 is: 270,835,084.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,615,179.50 : 123,828,013.50 = 123,828,013.50 : x
  2. Step 2: Convert to fraction form
    56,615,179.50/123,828,013.50 = 123,828,013.50/x
  3. Step 3: Cross multiply
    56,615,179.50x = 123,828,013.50 × 123,828,013.50
  4. Step 4: Simplify right side
    56,615,179.50x = 15,333,376,927,356,182
  5. Step 5: Solve for x
    x = 15,333,376,927,356,182/56,615,179.50
  6. Step 6: Final answer
    x = 270,835,084.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.