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Finding the Third Proportional to 21,202,870.50 and 46,160,238.38

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Solution

The third proportional to 21,202,870.50 and 46,160,238.38 is: 100,494,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202,870.50 : 46,160,238.38 = 46,160,238.38 : x
  2. Step 2: Convert to fraction form
    21,202,870.50/46,160,238.38 = 46,160,238.38/x
  3. Step 3: Cross multiply
    21,202,870.50x = 46,160,238.38 × 46,160,238.38
  4. Step 4: Simplify right side
    21,202,870.50x = 2,130,767,606,836,822.75
  5. Step 5: Solve for x
    x = 2,130,767,606,836,822.75/21,202,870.50
  6. Step 6: Final answer
    x = 100,494,298.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.