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Finding the Third Proportional to 45,466,512 and 97,418,208

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Solution

The third proportional to 45,466,512 and 97,418,208 is: 208,731,807.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,466,512 : 97,418,208 = 97,418,208 : x
  2. Step 2: Convert to fraction form
    45,466,512/97,418,208 = 97,418,208/x
  3. Step 3: Cross multiply
    45,466,512x = 97,418,208 × 97,418,208
  4. Step 4: Simplify right side
    45,466,512x = 9,490,307,249,931,264
  5. Step 5: Solve for x
    x = 9,490,307,249,931,264/45,466,512
  6. Step 6: Final answer
    x = 208,731,807.93

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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.