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Finding the Third Proportional to 172,846,499 and 380,169,260.50

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Solution

The third proportional to 172,846,499 and 380,169,260.50 is: 836,167,741.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,846,499 : 380,169,260.50 = 380,169,260.50 : x
  2. Step 2: Convert to fraction form
    172,846,499/380,169,260.50 = 380,169,260.50/x
  3. Step 3: Cross multiply
    172,846,499x = 380,169,260.50 × 380,169,260.50
  4. Step 4: Simplify right side
    172,846,499x = 144,528,666,629,116,864
  5. Step 5: Solve for x
    x = 144,528,666,629,116,864/172,846,499
  6. Step 6: Final answer
    x = 836,167,741.12

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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.