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Finding the Third Proportional to 46,711,106 and 109,138,221

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Solution

The third proportional to 46,711,106 and 109,138,221 is: 254,996,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,711,106 : 109,138,221 = 109,138,221 : x
  2. Step 2: Convert to fraction form
    46,711,106/109,138,221 = 109,138,221/x
  3. Step 3: Cross multiply
    46,711,106x = 109,138,221 × 109,138,221
  4. Step 4: Simplify right side
    46,711,106x = 11,911,151,283,044,840
  5. Step 5: Solve for x
    x = 11,911,151,283,044,840/46,711,106
  6. Step 6: Final answer
    x = 254,996,130.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.