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Finding the Third Proportional to 78,166,624 and 104,210,298

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Solution

The third proportional to 78,166,624 and 104,210,298 is: 138,931,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,166,624 : 104,210,298 = 104,210,298 : x
  2. Step 2: Convert to fraction form
    78,166,624/104,210,298 = 104,210,298/x
  3. Step 3: Cross multiply
    78,166,624x = 104,210,298 × 104,210,298
  4. Step 4: Simplify right side
    78,166,624x = 10,859,786,209,248,804
  5. Step 5: Solve for x
    x = 10,859,786,209,248,804/78,166,624
  6. Step 6: Final answer
    x = 138,931,242.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.