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Finding the Third Proportional to 98,047 and 214,784

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Solution

The third proportional to 98,047 and 214,784 is: 470,510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,047 : 214,784 = 214,784 : x
  2. Step 2: Convert to fraction form
    98,047/214,784 = 214,784/x
  3. Step 3: Cross multiply
    98,047x = 214,784 × 214,784
  4. Step 4: Simplify right side
    98,047x = 46,132,166,656
  5. Step 5: Solve for x
    x = 46,132,166,656/98,047
  6. Step 6: Final answer
    x = 470,510.74

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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.