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Finding the Third Proportional to 97,075.13 and 226,728.56

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Solution

The third proportional to 97,075.13 and 226,728.56 is: 529,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,075.13 : 226,728.56 = 226,728.56 : x
  2. Step 2: Convert to fraction form
    97,075.13/226,728.56 = 226,728.56/x
  3. Step 3: Cross multiply
    97,075.13x = 226,728.56 × 226,728.56
  4. Step 4: Simplify right side
    97,075.13x = 51,405,841,053.32
  5. Step 5: Solve for x
    x = 51,405,841,053.32/97,075.13
  6. Step 6: Final answer
    x = 529,547.00

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.