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Finding the Third Proportional to 45,095.48 and 97,412.63

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Solution

The third proportional to 45,095.48 and 97,412.63 is: 210,425.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,095.48 : 97,412.63 = 97,412.63 : x
  2. Step 2: Convert to fraction form
    45,095.48/97,412.63 = 97,412.63/x
  3. Step 3: Cross multiply
    45,095.48x = 97,412.63 × 97,412.63
  4. Step 4: Simplify right side
    45,095.48x = 9,489,219,509.39
  5. Step 5: Solve for x
    x = 9,489,219,509.39/45,095.48
  6. Step 6: Final answer
    x = 210,425.05

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Why These Related Problems?

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