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Finding the Third Proportional to 76,577,580 and 163,919,328

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Solution

The third proportional to 76,577,580 and 163,919,328 is: 350,880,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,577,580 : 163,919,328 = 163,919,328 : x
  2. Step 2: Convert to fraction form
    76,577,580/163,919,328 = 163,919,328/x
  3. Step 3: Cross multiply
    76,577,580x = 163,919,328 × 163,919,328
  4. Step 4: Simplify right side
    76,577,580x = 26,869,546,091,971,584
  5. Step 5: Solve for x
    x = 26,869,546,091,971,584/76,577,580
  6. Step 6: Final answer
    x = 350,880,062.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.