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Finding the Third Proportional to 98,945,076 and 154,071,306

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Solution

The third proportional to 98,945,076 and 154,071,306 is: 239,910,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,945,076 : 154,071,306 = 154,071,306 : x
  2. Step 2: Convert to fraction form
    98,945,076/154,071,306 = 154,071,306/x
  3. Step 3: Cross multiply
    98,945,076x = 154,071,306 × 154,071,306
  4. Step 4: Simplify right side
    98,945,076x = 23,737,967,332,545,636
  5. Step 5: Solve for x
    x = 23,737,967,332,545,636/98,945,076
  6. Step 6: Final answer
    x = 239,910,547.27

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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.