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Finding the Third Proportional to 97,281 and 184,477.50

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Solution

The third proportional to 97,281 and 184,477.50 is: 349,831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,281 : 184,477.50 = 184,477.50 : x
  2. Step 2: Convert to fraction form
    97,281/184,477.50 = 184,477.50/x
  3. Step 3: Cross multiply
    97,281x = 184,477.50 × 184,477.50
  4. Step 4: Simplify right side
    97,281x = 34,031,948,006.25
  5. Step 5: Solve for x
    x = 34,031,948,006.25/97,281
  6. Step 6: Final answer
    x = 349,831.40

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.