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Finding the Third Proportional to 68,136,125,472 and 148,270,178,304

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Solution

The third proportional to 68,136,125,472 and 148,270,178,304 is: 322,648,897,659.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,136,125,472 : 148,270,178,304 = 148,270,178,304 : x
  2. Step 2: Convert to fraction form
    68,136,125,472/148,270,178,304 = 148,270,178,304/x
  3. Step 3: Cross multiply
    68,136,125,472x = 148,270,178,304 × 148,270,178,304
  4. Step 4: Simplify right side
    68,136,125,472x = 21,984,045,774,299,952,316,416
  5. Step 5: Solve for x
    x = 21,984,045,774,299,952,316,416/68,136,125,472
  6. Step 6: Final answer
    x = 322,648,897,659.06

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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.