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Finding the Third Proportional to 106,429,070 and 229,470,592

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Solution

The third proportional to 106,429,070 and 229,470,592 is: 494,759,116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,429,070 : 229,470,592 = 229,470,592 : x
  2. Step 2: Convert to fraction form
    106,429,070/229,470,592 = 229,470,592/x
  3. Step 3: Cross multiply
    106,429,070x = 229,470,592 × 229,470,592
  4. Step 4: Simplify right side
    106,429,070x = 52,656,752,592,830,464
  5. Step 5: Solve for x
    x = 52,656,752,592,830,464/106,429,070
  6. Step 6: Final answer
    x = 494,759,116.03

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Why These Related Problems?

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