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Finding the Third Proportional to 102,160,143 and 158,623,116.75

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Solution

The third proportional to 102,160,143 and 158,623,116.75 is: 246,292,658.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,160,143 : 158,623,116.75 = 158,623,116.75 : x
  2. Step 2: Convert to fraction form
    102,160,143/158,623,116.75 = 158,623,116.75/x
  3. Step 3: Cross multiply
    102,160,143x = 158,623,116.75 × 158,623,116.75
  4. Step 4: Simplify right side
    102,160,143x = 25,161,293,167,484,132
  5. Step 5: Solve for x
    x = 25,161,293,167,484,132/102,160,143
  6. Step 6: Final answer
    x = 246,292,658.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.