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Finding the Third Proportional to 88,688 and 130,438.50

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Solution

The third proportional to 88,688 and 130,438.50 is: 191,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,688 : 130,438.50 = 130,438.50 : x
  2. Step 2: Convert to fraction form
    88,688/130,438.50 = 130,438.50/x
  3. Step 3: Cross multiply
    88,688x = 130,438.50 × 130,438.50
  4. Step 4: Simplify right side
    88,688x = 17,014,202,282.25
  5. Step 5: Solve for x
    x = 17,014,202,282.25/88,688
  6. Step 6: Final answer
    x = 191,843.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.