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Finding the Third Proportional to 96,898,173.75 and 212,629,141.13

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Solution

The third proportional to 96,898,173.75 and 212,629,141.13 is: 466,584,146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,898,173.75 : 212,629,141.13 = 212,629,141.13 : x
  2. Step 2: Convert to fraction form
    96,898,173.75/212,629,141.13 = 212,629,141.13/x
  3. Step 3: Cross multiply
    96,898,173.75x = 212,629,141.13 × 212,629,141.13
  4. Step 4: Simplify right side
    96,898,173.75x = 45,211,151,655,555,168
  5. Step 5: Solve for x
    x = 45,211,151,655,555,168/96,898,173.75
  6. Step 6: Final answer
    x = 466,584,146.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.