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Finding the Third Proportional to 75,710,710.50 and 164,707,447.50

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Solution

The third proportional to 75,710,710.50 and 164,707,447.50 is: 358,318,434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,710,710.50 : 164,707,447.50 = 164,707,447.50 : x
  2. Step 2: Convert to fraction form
    75,710,710.50/164,707,447.50 = 164,707,447.50/x
  3. Step 3: Cross multiply
    75,710,710.50x = 164,707,447.50 × 164,707,447.50
  4. Step 4: Simplify right side
    75,710,710.50x = 27,128,543,261,965,256
  5. Step 5: Solve for x
    x = 27,128,543,261,965,256/75,710,710.50
  6. Step 6: Final answer
    x = 358,318,434.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.