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Finding the Third Proportional to 101,705,581 and 220,749,424.50

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Solution

The third proportional to 101,705,581 and 220,749,424.50 is: 479,131,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,705,581 : 220,749,424.50 = 220,749,424.50 : x
  2. Step 2: Convert to fraction form
    101,705,581/220,749,424.50 = 220,749,424.50/x
  3. Step 3: Cross multiply
    101,705,581x = 220,749,424.50 × 220,749,424.50
  4. Step 4: Simplify right side
    101,705,581x = 48,730,308,417,081,200
  5. Step 5: Solve for x
    x = 48,730,308,417,081,200/101,705,581
  6. Step 6: Final answer
    x = 479,131,114.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.