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Finding the Third Proportional to 172,846,510.50 and 380,169,284.25

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Solution

The third proportional to 172,846,510.50 and 380,169,284.25 is: 836,167,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,846,510.50 : 380,169,284.25 = 380,169,284.25 : x
  2. Step 2: Convert to fraction form
    172,846,510.50/380,169,284.25 = 380,169,284.25/x
  3. Step 3: Cross multiply
    172,846,510.50x = 380,169,284.25 × 380,169,284.25
  4. Step 4: Simplify right side
    172,846,510.50x = 144,528,684,687,157,312
  5. Step 5: Solve for x
    x = 144,528,684,687,157,312/172,846,510.50
  6. Step 6: Final answer
    x = 836,167,789.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.