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Finding the Third Proportional to 160,164,864 and 349,688,016

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Solution

The third proportional to 160,164,864 and 349,688,016 is: 763,473,994.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,164,864 : 349,688,016 = 349,688,016 : x
  2. Step 2: Convert to fraction form
    160,164,864/349,688,016 = 349,688,016/x
  3. Step 3: Cross multiply
    160,164,864x = 349,688,016 × 349,688,016
  4. Step 4: Simplify right side
    160,164,864x = 122,281,708,534,016,256
  5. Step 5: Solve for x
    x = 122,281,708,534,016,256/160,164,864
  6. Step 6: Final answer
    x = 763,473,994.73

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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.