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Finding the Third Proportional to 119,287,928 and 260,905,072

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Solution

The third proportional to 119,287,928 and 260,905,072 is: 570,648,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,287,928 : 260,905,072 = 260,905,072 : x
  2. Step 2: Convert to fraction form
    119,287,928/260,905,072 = 260,905,072/x
  3. Step 3: Cross multiply
    119,287,928x = 260,905,072 × 260,905,072
  4. Step 4: Simplify right side
    119,287,928x = 68,071,456,595,325,184
  5. Step 5: Solve for x
    x = 68,071,456,595,325,184/119,287,928
  6. Step 6: Final answer
    x = 570,648,327.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.