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Finding the Third Proportional to 82,394,977.50 and 112,207,895.50

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Solution

The third proportional to 82,394,977.50 and 112,207,895.50 is: 152,808,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,394,977.50 : 112,207,895.50 = 112,207,895.50 : x
  2. Step 2: Convert to fraction form
    82,394,977.50/112,207,895.50 = 112,207,895.50/x
  3. Step 3: Cross multiply
    82,394,977.50x = 112,207,895.50 × 112,207,895.50
  4. Step 4: Simplify right side
    82,394,977.50x = 12,590,611,812,538,920
  5. Step 5: Solve for x
    x = 12,590,611,812,538,920/82,394,977.50
  6. Step 6: Final answer
    x = 152,808,001.10

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.