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Finding the Third Proportional to 76,971,056 and 165,973,360

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Solution

The third proportional to 76,971,056 and 165,973,360 is: 357,889,805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,971,056 : 165,973,360 = 165,973,360 : x
  2. Step 2: Convert to fraction form
    76,971,056/165,973,360 = 165,973,360/x
  3. Step 3: Cross multiply
    76,971,056x = 165,973,360 × 165,973,360
  4. Step 4: Simplify right side
    76,971,056x = 27,547,156,229,689,600
  5. Step 5: Solve for x
    x = 27,547,156,229,689,600/76,971,056
  6. Step 6: Final answer
    x = 357,889,805.09

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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.