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Finding the Third Proportional to 76,750,280 and 156,583,582

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Solution

The third proportional to 76,750,280 and 156,583,582 is: 319,457,051.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,750,280 : 156,583,582 = 156,583,582 : x
  2. Step 2: Convert to fraction form
    76,750,280/156,583,582 = 156,583,582/x
  3. Step 3: Cross multiply
    76,750,280x = 156,583,582 × 156,583,582
  4. Step 4: Simplify right side
    76,750,280x = 24,518,418,151,950,724
  5. Step 5: Solve for x
    x = 24,518,418,151,950,724/76,750,280
  6. Step 6: Final answer
    x = 319,457,051.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.