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Finding the Third Proportional to 45,067,106 and 97,318,276

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Solution

The third proportional to 45,067,106 and 97,318,276 is: 210,149,878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,067,106 : 97,318,276 = 97,318,276 : x
  2. Step 2: Convert to fraction form
    45,067,106/97,318,276 = 97,318,276/x
  3. Step 3: Cross multiply
    45,067,106x = 97,318,276 × 97,318,276
  4. Step 4: Simplify right side
    45,067,106x = 9,470,846,843,612,176
  5. Step 5: Solve for x
    x = 9,470,846,843,612,176/45,067,106
  6. Step 6: Final answer
    x = 210,149,878.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.