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Finding the Third Proportional to 45,478.13 and 93,210.75

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Solution

The third proportional to 45,478.13 and 93,210.75 is: 191,042.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,478.13 : 93,210.75 = 93,210.75 : x
  2. Step 2: Convert to fraction form
    45,478.13/93,210.75 = 93,210.75/x
  3. Step 3: Cross multiply
    45,478.13x = 93,210.75 × 93,210.75
  4. Step 4: Simplify right side
    45,478.13x = 8,688,243,915.56
  5. Step 5: Solve for x
    x = 8,688,243,915.56/45,478.13
  6. Step 6: Final answer
    x = 191,042.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.