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Finding the Third Proportional to 114,390,278.50 and 161,086,718.50

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Solution

The third proportional to 114,390,278.50 and 161,086,718.50 is: 226,845,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,390,278.50 : 161,086,718.50 = 161,086,718.50 : x
  2. Step 2: Convert to fraction form
    114,390,278.50/161,086,718.50 = 161,086,718.50/x
  3. Step 3: Cross multiply
    114,390,278.50x = 161,086,718.50 × 161,086,718.50
  4. Step 4: Simplify right side
    114,390,278.50x = 25,948,930,877,098,244
  5. Step 5: Solve for x
    x = 25,948,930,877,098,244/114,390,278.50
  6. Step 6: Final answer
    x = 226,845,595.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.