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Finding the Third Proportional to 205,325,516 and 456,558,580

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Solution

The third proportional to 205,325,516 and 456,558,580 is: 1,015,196,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,325,516 : 456,558,580 = 456,558,580 : x
  2. Step 2: Convert to fraction form
    205,325,516/456,558,580 = 456,558,580/x
  3. Step 3: Cross multiply
    205,325,516x = 456,558,580 × 456,558,580
  4. Step 4: Simplify right side
    205,325,516x = 208,445,736,971,616,384
  5. Step 5: Solve for x
    x = 208,445,736,971,616,384/205,325,516
  6. Step 6: Final answer
    x = 1,015,196,459.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.