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Finding the Third Proportional to 90,399,335,283 and 148,851,960,471

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Solution

The third proportional to 90,399,335,283 and 148,851,960,471 is: 245,100,321,442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,399,335,283 : 148,851,960,471 = 148,851,960,471 : x
  2. Step 2: Convert to fraction form
    90,399,335,283/148,851,960,471 = 148,851,960,471/x
  3. Step 3: Cross multiply
    90,399,335,283x = 148,851,960,471 × 148,851,960,471
  4. Step 4: Simplify right side
    90,399,335,283x = 22,156,906,136,060,148,318,208
  5. Step 5: Solve for x
    x = 22,156,906,136,060,148,318,208/90,399,335,283
  6. Step 6: Final answer
    x = 245,100,321,442.59

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.