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Finding the Third Proportional to 83,646,061 and 181,188,315

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Solution

The third proportional to 83,646,061 and 181,188,315 is: 392,477,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,646,061 : 181,188,315 = 181,188,315 : x
  2. Step 2: Convert to fraction form
    83,646,061/181,188,315 = 181,188,315/x
  3. Step 3: Cross multiply
    83,646,061x = 181,188,315 × 181,188,315
  4. Step 4: Simplify right side
    83,646,061x = 32,829,205,492,539,224
  5. Step 5: Solve for x
    x = 32,829,205,492,539,224/83,646,061
  6. Step 6: Final answer
    x = 392,477,602.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.