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Finding the Third Proportional to 97,788,446 and 209,772,478

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Solution

The third proportional to 97,788,446 and 209,772,478 is: 449,996,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,788,446 : 209,772,478 = 209,772,478 : x
  2. Step 2: Convert to fraction form
    97,788,446/209,772,478 = 209,772,478/x
  3. Step 3: Cross multiply
    97,788,446x = 209,772,478 × 209,772,478
  4. Step 4: Simplify right side
    97,788,446x = 44,004,492,526,260,480
  5. Step 5: Solve for x
    x = 44,004,492,526,260,480/97,788,446
  6. Step 6: Final answer
    x = 449,996,848.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.