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Finding the Third Proportional to 76,983,374 and 159,423,495

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Solution

The third proportional to 76,983,374 and 159,423,495 is: 330,147,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,983,374 : 159,423,495 = 159,423,495 : x
  2. Step 2: Convert to fraction form
    76,983,374/159,423,495 = 159,423,495/x
  3. Step 3: Cross multiply
    76,983,374x = 159,423,495 × 159,423,495
  4. Step 4: Simplify right side
    76,983,374x = 25,415,850,758,015,024
  5. Step 5: Solve for x
    x = 25,415,850,758,015,024/76,983,374
  6. Step 6: Final answer
    x = 330,147,269.95

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.