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Finding the Third Proportional to 45,898.88 and 70,210.13

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Solution

The third proportional to 45,898.88 and 70,210.13 is: 107,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,898.88 : 70,210.13 = 70,210.13 : x
  2. Step 2: Convert to fraction form
    45,898.88/70,210.13 = 70,210.13/x
  3. Step 3: Cross multiply
    45,898.88x = 70,210.13 × 70,210.13
  4. Step 4: Simplify right side
    45,898.88x = 4,929,461,652.52
  5. Step 5: Solve for x
    x = 4,929,461,652.52/45,898.88
  6. Step 6: Final answer
    x = 107,398.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.