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Finding the Third Proportional to 45,421,042 and 99,635,695.50

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Solution

The third proportional to 45,421,042 and 99,635,695.50 is: 218,561,076.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,421,042 : 99,635,695.50 = 99,635,695.50 : x
  2. Step 2: Convert to fraction form
    45,421,042/99,635,695.50 = 99,635,695.50/x
  3. Step 3: Cross multiply
    45,421,042x = 99,635,695.50 × 99,635,695.50
  4. Step 4: Simplify right side
    45,421,042x = 9,927,271,817,768,720
  5. Step 5: Solve for x
    x = 9,927,271,817,768,720/45,421,042
  6. Step 6: Final answer
    x = 218,561,076.11

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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.