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Finding the Third Proportional to 106,806,920 and 219,275,952

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Solution

The third proportional to 106,806,920 and 219,275,952 is: 450,176,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,806,920 : 219,275,952 = 219,275,952 : x
  2. Step 2: Convert to fraction form
    106,806,920/219,275,952 = 219,275,952/x
  3. Step 3: Cross multiply
    106,806,920x = 219,275,952 × 219,275,952
  4. Step 4: Simplify right side
    106,806,920x = 48,081,943,125,506,304
  5. Step 5: Solve for x
    x = 48,081,943,125,506,304/106,806,920
  6. Step 6: Final answer
    x = 450,176,291.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.