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Finding the Third Proportional to 130,055.63 and 190,000.69

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Solution

The third proportional to 130,055.63 and 190,000.69 is: 277,575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,055.63 : 190,000.69 = 190,000.69 : x
  2. Step 2: Convert to fraction form
    130,055.63/190,000.69 = 190,000.69/x
  3. Step 3: Cross multiply
    130,055.63x = 190,000.69 × 190,000.69
  4. Step 4: Simplify right side
    130,055.63x = 36,100,261,250.47
  5. Step 5: Solve for x
    x = 36,100,261,250.47/130,055.63
  6. Step 6: Final answer
    x = 277,575.55

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.