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Finding the Third Proportional to 199,089 and 429,848.50

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Solution

The third proportional to 199,089 and 429,848.50 is: 928,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,089 : 429,848.50 = 429,848.50 : x
  2. Step 2: Convert to fraction form
    199,089/429,848.50 = 429,848.50/x
  3. Step 3: Cross multiply
    199,089x = 429,848.50 × 429,848.50
  4. Step 4: Simplify right side
    199,089x = 184,769,732,952.25
  5. Step 5: Solve for x
    x = 184,769,732,952.25/199,089
  6. Step 6: Final answer
    x = 928,076.05

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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.