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Finding the Third Proportional to 97,627,688 and 147,701,244

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Solution

The third proportional to 97,627,688 and 147,701,244 is: 223,457,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,627,688 : 147,701,244 = 147,701,244 : x
  2. Step 2: Convert to fraction form
    97,627,688/147,701,244 = 147,701,244/x
  3. Step 3: Cross multiply
    97,627,688x = 147,701,244 × 147,701,244
  4. Step 4: Simplify right side
    97,627,688x = 21,815,657,479,147,536
  5. Step 5: Solve for x
    x = 21,815,657,479,147,536/97,627,688
  6. Step 6: Final answer
    x = 223,457,688.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.