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Finding the Third Proportional to 82,506,879.75 and 174,849,063.75

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Solution

The third proportional to 82,506,879.75 and 174,849,063.75 is: 370,541,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,506,879.75 : 174,849,063.75 = 174,849,063.75 : x
  2. Step 2: Convert to fraction form
    82,506,879.75/174,849,063.75 = 174,849,063.75/x
  3. Step 3: Cross multiply
    82,506,879.75x = 174,849,063.75 × 174,849,063.75
  4. Step 4: Simplify right side
    82,506,879.75x = 30,572,195,094,251,564
  5. Step 5: Solve for x
    x = 30,572,195,094,251,564/82,506,879.75
  6. Step 6: Final answer
    x = 370,541,161.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.