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Finding the Third Proportional to 100,948,090 and 219,124,766

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Solution

The third proportional to 100,948,090 and 219,124,766 is: 475,647,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,948,090 : 219,124,766 = 219,124,766 : x
  2. Step 2: Convert to fraction form
    100,948,090/219,124,766 = 219,124,766/x
  3. Step 3: Cross multiply
    100,948,090x = 219,124,766 × 219,124,766
  4. Step 4: Simplify right side
    100,948,090x = 48,015,663,074,554,752
  5. Step 5: Solve for x
    x = 48,015,663,074,554,752/100,948,090
  6. Step 6: Final answer
    x = 475,647,068.45

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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.