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Finding the Third Proportional to 119,287,920 and 260,905,056

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Solution

The third proportional to 119,287,920 and 260,905,056 is: 570,648,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,287,920 : 260,905,056 = 260,905,056 : x
  2. Step 2: Convert to fraction form
    119,287,920/260,905,056 = 260,905,056/x
  3. Step 3: Cross multiply
    119,287,920x = 260,905,056 × 260,905,056
  4. Step 4: Simplify right side
    119,287,920x = 68,071,448,246,363,136
  5. Step 5: Solve for x
    x = 68,071,448,246,363,136/119,287,920
  6. Step 6: Final answer
    x = 570,648,295.71

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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.