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Finding the Third Proportional to 76,971,058 and 165,973,364

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Solution

The third proportional to 76,971,058 and 165,973,364 is: 357,889,813.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,971,058 : 165,973,364 = 165,973,364 : x
  2. Step 2: Convert to fraction form
    76,971,058/165,973,364 = 165,973,364/x
  3. Step 3: Cross multiply
    76,971,058x = 165,973,364 × 165,973,364
  4. Step 4: Simplify right side
    76,971,058x = 27,547,157,557,476,496
  5. Step 5: Solve for x
    x = 27,547,157,557,476,496/76,971,058
  6. Step 6: Final answer
    x = 357,889,813.04

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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.