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Finding the Third Proportional to 45,151,489 and 98,929,053

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Solution

The third proportional to 45,151,489 and 98,929,053 is: 216,758,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,151,489 : 98,929,053 = 98,929,053 : x
  2. Step 2: Convert to fraction form
    45,151,489/98,929,053 = 98,929,053/x
  3. Step 3: Cross multiply
    45,151,489x = 98,929,053 × 98,929,053
  4. Step 4: Simplify right side
    45,151,489x = 9,786,957,527,476,808
  5. Step 5: Solve for x
    x = 9,786,957,527,476,808/45,151,489
  6. Step 6: Final answer
    x = 216,758,245.28

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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.