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Finding the Third Proportional to 72,987,788 and 102,041,224

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Solution

The third proportional to 72,987,788 and 102,041,224 is: 142,659,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,987,788 : 102,041,224 = 102,041,224 : x
  2. Step 2: Convert to fraction form
    72,987,788/102,041,224 = 102,041,224/x
  3. Step 3: Cross multiply
    72,987,788x = 102,041,224 × 102,041,224
  4. Step 4: Simplify right side
    72,987,788x = 10,412,411,395,418,176
  5. Step 5: Solve for x
    x = 10,412,411,395,418,176/72,987,788
  6. Step 6: Final answer
    x = 142,659,637.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.