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Finding the Third Proportional to 97,776 and 214,560

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Solution

The third proportional to 97,776 and 214,560 is: 470,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,776 : 214,560 = 214,560 : x
  2. Step 2: Convert to fraction form
    97,776/214,560 = 214,560/x
  3. Step 3: Cross multiply
    97,776x = 214,560 × 214,560
  4. Step 4: Simplify right side
    97,776x = 46,035,993,600
  5. Step 5: Solve for x
    x = 46,035,993,600/97,776
  6. Step 6: Final answer
    x = 470,831.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.