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Finding the Third Proportional to 85,970,472.19 and 188,830,028.81

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Solution

The third proportional to 85,970,472.19 and 188,830,028.81 is: 414,756,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,970,472.19 : 188,830,028.81 = 188,830,028.81 : x
  2. Step 2: Convert to fraction form
    85,970,472.19/188,830,028.81 = 188,830,028.81/x
  3. Step 3: Cross multiply
    85,970,472.19x = 188,830,028.81 × 188,830,028.81
  4. Step 4: Simplify right side
    85,970,472.19x = 35,656,779,781,329,580
  5. Step 5: Solve for x
    x = 35,656,779,781,329,580/85,970,472.19
  6. Step 6: Final answer
    x = 414,756,123.52

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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.