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Finding the Third Proportional to 153,750,636 and 247,589,164

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Solution

The third proportional to 153,750,636 and 247,589,164 is: 398,700,101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,750,636 : 247,589,164 = 247,589,164 : x
  2. Step 2: Convert to fraction form
    153,750,636/247,589,164 = 247,589,164/x
  3. Step 3: Cross multiply
    153,750,636x = 247,589,164 × 247,589,164
  4. Step 4: Simplify right side
    153,750,636x = 61,300,394,130,218,896
  5. Step 5: Solve for x
    x = 61,300,394,130,218,896/153,750,636
  6. Step 6: Final answer
    x = 398,700,101.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.