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Finding the Third Proportional to 69,898,910 and 152,069,788

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Solution

The third proportional to 69,898,910 and 152,069,788 is: 330,838,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,898,910 : 152,069,788 = 152,069,788 : x
  2. Step 2: Convert to fraction form
    69,898,910/152,069,788 = 152,069,788/x
  3. Step 3: Cross multiply
    69,898,910x = 152,069,788 × 152,069,788
  4. Step 4: Simplify right side
    69,898,910x = 23,125,220,422,364,944
  5. Step 5: Solve for x
    x = 23,125,220,422,364,944/69,898,910
  6. Step 6: Final answer
    x = 330,838,069.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.