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Finding the Third Proportional to 112,970,790,160 and 245,799,044,432

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Solution

The third proportional to 112,970,790,160 and 245,799,044,432 is: 534,803,466,968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,970,790,160 : 245,799,044,432 = 245,799,044,432 : x
  2. Step 2: Convert to fraction form
    112,970,790,160/245,799,044,432 = 245,799,044,432/x
  3. Step 3: Cross multiply
    112,970,790,160x = 245,799,044,432 × 245,799,044,432
  4. Step 4: Simplify right side
    112,970,790,160x = 60,417,170,243,684,310,974,464
  5. Step 5: Solve for x
    x = 60,417,170,243,684,310,974,464/112,970,790,160
  6. Step 6: Final answer
    x = 534,803,466,968.02

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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.