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Finding the Third Proportional to 106,166,629.13 and 143,437,710.94

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Solution

The third proportional to 106,166,629.13 and 143,437,710.94 is: 193,793,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,166,629.13 : 143,437,710.94 = 143,437,710.94 : x
  2. Step 2: Convert to fraction form
    106,166,629.13/143,437,710.94 = 143,437,710.94/x
  3. Step 3: Cross multiply
    106,166,629.13x = 143,437,710.94 × 143,437,710.94
  4. Step 4: Simplify right side
    106,166,629.13x = 20,574,376,918,989,808
  5. Step 5: Solve for x
    x = 20,574,376,918,989,808/106,166,629.13
  6. Step 6: Final answer
    x = 193,793,257.72

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.