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Finding the Third Proportional to 106,429,068 and 229,470,588

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Solution

The third proportional to 106,429,068 and 229,470,588 is: 494,759,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,429,068 : 229,470,588 = 229,470,588 : x
  2. Step 2: Convert to fraction form
    106,429,068/229,470,588 = 229,470,588/x
  3. Step 3: Cross multiply
    106,429,068x = 229,470,588 × 229,470,588
  4. Step 4: Simplify right side
    106,429,068x = 52,656,750,757,065,744
  5. Step 5: Solve for x
    x = 52,656,750,757,065,744/106,429,068
  6. Step 6: Final answer
    x = 494,759,108.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.