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Finding the Third Proportional to 98,471,472 and 214,281,792

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Solution

The third proportional to 98,471,472 and 214,281,792 is: 466,294,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,471,472 : 214,281,792 = 214,281,792 : x
  2. Step 2: Convert to fraction form
    98,471,472/214,281,792 = 214,281,792/x
  3. Step 3: Cross multiply
    98,471,472x = 214,281,792 × 214,281,792
  4. Step 4: Simplify right side
    98,471,472x = 45,916,686,382,731,264
  5. Step 5: Solve for x
    x = 45,916,686,382,731,264/98,471,472
  6. Step 6: Final answer
    x = 466,294,302.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.