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Finding the Third Proportional to 85,197,312 and 186,612,228

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Solution

The third proportional to 85,197,312 and 186,612,228 is: 408,746,741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,197,312 : 186,612,228 = 186,612,228 : x
  2. Step 2: Convert to fraction form
    85,197,312/186,612,228 = 186,612,228/x
  3. Step 3: Cross multiply
    85,197,312x = 186,612,228 × 186,612,228
  4. Step 4: Simplify right side
    85,197,312x = 34,824,123,639,123,984
  5. Step 5: Solve for x
    x = 34,824,123,639,123,984/85,197,312
  6. Step 6: Final answer
    x = 408,746,741.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.