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Finding the Third Proportional to 84,176,538.19 and 180,884,586.38

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Solution

The third proportional to 84,176,538.19 and 180,884,586.38 is: 388,697,780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,176,538.19 : 180,884,586.38 = 180,884,586.38 : x
  2. Step 2: Convert to fraction form
    84,176,538.19/180,884,586.38 = 180,884,586.38/x
  3. Step 3: Cross multiply
    84,176,538.19x = 180,884,586.38 × 180,884,586.38
  4. Step 4: Simplify right side
    84,176,538.19x = 32,719,233,588,054,836
  5. Step 5: Solve for x
    x = 32,719,233,588,054,836/84,176,538.19
  6. Step 6: Final answer
    x = 388,697,780.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.