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Finding the Third Proportional to 83,178,336 and 185,482,056

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Solution

The third proportional to 83,178,336 and 185,482,056 is: 413,612,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178,336 : 185,482,056 = 185,482,056 : x
  2. Step 2: Convert to fraction form
    83,178,336/185,482,056 = 185,482,056/x
  3. Step 3: Cross multiply
    83,178,336x = 185,482,056 × 185,482,056
  4. Step 4: Simplify right side
    83,178,336x = 34,403,593,097,987,136
  5. Step 5: Solve for x
    x = 34,403,593,097,987,136/83,178,336
  6. Step 6: Final answer
    x = 413,612,423.05

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.