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Finding the Third Proportional to 88,507 and 191,148.50

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Solution

The third proportional to 88,507 and 191,148.50 is: 412,823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,507 : 191,148.50 = 191,148.50 : x
  2. Step 2: Convert to fraction form
    88,507/191,148.50 = 191,148.50/x
  3. Step 3: Cross multiply
    88,507x = 191,148.50 × 191,148.50
  4. Step 4: Simplify right side
    88,507x = 36,537,749,052.25
  5. Step 5: Solve for x
    x = 36,537,749,052.25/88,507
  6. Step 6: Final answer
    x = 412,823.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.