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Finding the Third Proportional to 250,690,890 and 549,809,412

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Solution

The third proportional to 250,690,890 and 549,809,412 is: 1,205,829,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,690,890 : 549,809,412 = 549,809,412 : x
  2. Step 2: Convert to fraction form
    250,690,890/549,809,412 = 549,809,412/x
  3. Step 3: Cross multiply
    250,690,890x = 549,809,412 × 549,809,412
  4. Step 4: Simplify right side
    250,690,890x = 302,290,389,523,785,728
  5. Step 5: Solve for x
    x = 302,290,389,523,785,728/250,690,890
  6. Step 6: Final answer
    x = 1,205,829,176.82

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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.