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Finding the Third Proportional to 102,465,348 and 158,486,094

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Solution

The third proportional to 102,465,348 and 158,486,094 is: 245,134,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,465,348 : 158,486,094 = 158,486,094 : x
  2. Step 2: Convert to fraction form
    102,465,348/158,486,094 = 158,486,094/x
  3. Step 3: Cross multiply
    102,465,348x = 158,486,094 × 158,486,094
  4. Step 4: Simplify right side
    102,465,348x = 25,117,841,991,376,836
  5. Step 5: Solve for x
    x = 25,117,841,991,376,836/102,465,348
  6. Step 6: Final answer
    x = 245,134,989.36

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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.