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Finding the Third Proportional to 109,095,699 and 242,405,169

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Solution

The third proportional to 109,095,699 and 242,405,169 is: 538,612,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,095,699 : 242,405,169 = 242,405,169 : x
  2. Step 2: Convert to fraction form
    109,095,699/242,405,169 = 242,405,169/x
  3. Step 3: Cross multiply
    109,095,699x = 242,405,169 × 242,405,169
  4. Step 4: Simplify right side
    109,095,699x = 58,760,265,957,918,560
  5. Step 5: Solve for x
    x = 58,760,265,957,918,560/109,095,699
  6. Step 6: Final answer
    x = 538,612,122.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.