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Finding the Third Proportional to 117,484,971 and 254,495,802

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Solution

The third proportional to 117,484,971 and 254,495,802 is: 551,288,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,484,971 : 254,495,802 = 254,495,802 : x
  2. Step 2: Convert to fraction form
    117,484,971/254,495,802 = 254,495,802/x
  3. Step 3: Cross multiply
    117,484,971x = 254,495,802 × 254,495,802
  4. Step 4: Simplify right side
    117,484,971x = 64,768,113,235,623,200
  5. Step 5: Solve for x
    x = 64,768,113,235,623,200/117,484,971
  6. Step 6: Final answer
    x = 551,288,498.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.