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Finding the Third Proportional to 119,287,930 and 260,905,076

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Solution

The third proportional to 119,287,930 and 260,905,076 is: 570,648,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,287,930 : 260,905,076 = 260,905,076 : x
  2. Step 2: Convert to fraction form
    119,287,930/260,905,076 = 260,905,076/x
  3. Step 3: Cross multiply
    119,287,930x = 260,905,076 × 260,905,076
  4. Step 4: Simplify right side
    119,287,930x = 68,071,458,682,565,776
  5. Step 5: Solve for x
    x = 68,071,458,682,565,776/119,287,930
  6. Step 6: Final answer
    x = 570,648,335.36

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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.