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Finding the Third Proportional to 83,041,952 and 194,023,477

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Solution

The third proportional to 83,041,952 and 194,023,477 is: 453,326,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,041,952 : 194,023,477 = 194,023,477 : x
  2. Step 2: Convert to fraction form
    83,041,952/194,023,477 = 194,023,477/x
  3. Step 3: Cross multiply
    83,041,952x = 194,023,477 × 194,023,477
  4. Step 4: Simplify right side
    83,041,952x = 37,645,109,627,169,528
  5. Step 5: Solve for x
    x = 37,645,109,627,169,528/83,041,952
  6. Step 6: Final answer
    x = 453,326,405.76

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.