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Finding the Third Proportional to 84,602,823 and 114,149,074

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Solution

The third proportional to 84,602,823 and 114,149,074 is: 154,013,904.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,602,823 : 114,149,074 = 114,149,074 : x
  2. Step 2: Convert to fraction form
    84,602,823/114,149,074 = 114,149,074/x
  3. Step 3: Cross multiply
    84,602,823x = 114,149,074 × 114,149,074
  4. Step 4: Simplify right side
    84,602,823x = 13,030,011,095,057,476
  5. Step 5: Solve for x
    x = 13,030,011,095,057,476/84,602,823
  6. Step 6: Final answer
    x = 154,013,904.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.