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Finding the Third Proportional to 45,421,920 and 99,636,900.75

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Solution

The third proportional to 45,421,920 and 99,636,900.75 is: 218,562,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,421,920 : 99,636,900.75 = 99,636,900.75 : x
  2. Step 2: Convert to fraction form
    45,421,920/99,636,900.75 = 99,636,900.75/x
  3. Step 3: Cross multiply
    45,421,920x = 99,636,900.75 × 99,636,900.75
  4. Step 4: Simplify right side
    45,421,920x = 9,927,511,991,065,350
  5. Step 5: Solve for x
    x = 9,927,511,991,065,350/45,421,920
  6. Step 6: Final answer
    x = 218,562,138.96

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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.