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Finding the Third Proportional to 48,920,337.72 and 105,500,899.22

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Solution

The third proportional to 48,920,337.72 and 105,500,899.22 is: 227,521,727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,920,337.72 : 105,500,899.22 = 105,500,899.22 : x
  2. Step 2: Convert to fraction form
    48,920,337.72/105,500,899.22 = 105,500,899.22/x
  3. Step 3: Cross multiply
    48,920,337.72x = 105,500,899.22 × 105,500,899.22
  4. Step 4: Simplify right side
    48,920,337.72x = 11,130,439,736,583,080
  5. Step 5: Solve for x
    x = 11,130,439,736,583,080/48,920,337.72
  6. Step 6: Final answer
    x = 227,521,727.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.