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Finding the Third Proportional to 45,023.63 and 97,030.13

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Solution

The third proportional to 45,023.63 and 97,030.13 is: 209,109.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,023.63 : 97,030.13 = 97,030.13 : x
  2. Step 2: Convert to fraction form
    45,023.63/97,030.13 = 97,030.13/x
  3. Step 3: Cross multiply
    45,023.63x = 97,030.13 × 97,030.13
  4. Step 4: Simplify right side
    45,023.63x = 9,414,845,157.52
  5. Step 5: Solve for x
    x = 9,414,845,157.52/45,023.63
  6. Step 6: Final answer
    x = 209,109.00

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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.