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Finding the Third Proportional to 212,110.88 and 457,430.63

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Solution

The third proportional to 212,110.88 and 457,430.63 is: 986,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,110.88 : 457,430.63 = 457,430.63 : x
  2. Step 2: Convert to fraction form
    212,110.88/457,430.63 = 457,430.63/x
  3. Step 3: Cross multiply
    212,110.88x = 457,430.63 × 457,430.63
  4. Step 4: Simplify right side
    212,110.88x = 209,242,776,687.89
  5. Step 5: Solve for x
    x = 209,242,776,687.89/212,110.88
  6. Step 6: Final answer
    x = 986,478.31

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