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Finding the Third Proportional to 75,717,688 and 164,701,827

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Solution

The third proportional to 75,717,688 and 164,701,827 is: 358,260,962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,717,688 : 164,701,827 = 164,701,827 : x
  2. Step 2: Convert to fraction form
    75,717,688/164,701,827 = 164,701,827/x
  3. Step 3: Cross multiply
    75,717,688x = 164,701,827 × 164,701,827
  4. Step 4: Simplify right side
    75,717,688x = 27,126,691,817,137,928
  5. Step 5: Solve for x
    x = 27,126,691,817,137,928/75,717,688
  6. Step 6: Final answer
    x = 358,260,962.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.