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Finding the Third Proportional to 98,474.63 and 210,070.69

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Solution

The third proportional to 98,474.63 and 210,070.69 is: 448,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,474.63 : 210,070.69 = 210,070.69 : x
  2. Step 2: Convert to fraction form
    98,474.63/210,070.69 = 210,070.69/x
  3. Step 3: Cross multiply
    98,474.63x = 210,070.69 × 210,070.69
  4. Step 4: Simplify right side
    98,474.63x = 44,129,693,746.72
  5. Step 5: Solve for x
    x = 44,129,693,746.72/98,474.63
  6. Step 6: Final answer
    x = 448,132.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.