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Finding the Third Proportional to 119,280,464 and 260,893,584

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Solution

The third proportional to 119,280,464 and 260,893,584 is: 570,633,781.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,280,464 : 260,893,584 = 260,893,584 : x
  2. Step 2: Convert to fraction form
    119,280,464/260,893,584 = 260,893,584/x
  3. Step 3: Cross multiply
    119,280,464x = 260,893,584 × 260,893,584
  4. Step 4: Simplify right side
    119,280,464x = 68,065,462,172,365,056
  5. Step 5: Solve for x
    x = 68,065,462,172,365,056/119,280,464
  6. Step 6: Final answer
    x = 570,633,781.01

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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.