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Finding the Third Proportional to 98,179,959.06 and 146,418,533.44

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Solution

The third proportional to 98,179,959.06 and 146,418,533.44 is: 218,358,075.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,179,959.06 : 146,418,533.44 = 146,418,533.44 : x
  2. Step 2: Convert to fraction form
    98,179,959.06/146,418,533.44 = 146,418,533.44/x
  3. Step 3: Cross multiply
    98,179,959.06x = 146,418,533.44 × 146,418,533.44
  4. Step 4: Simplify right side
    98,179,959.06x = 21,438,386,933,988,304
  5. Step 5: Solve for x
    x = 21,438,386,933,988,304/98,179,959.06
  6. Step 6: Final answer
    x = 218,358,075.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.