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Finding the Third Proportional to 84,912,973 and 185,197,594

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Solution

The third proportional to 84,912,973 and 185,197,594 is: 403,921,186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912,973 : 185,197,594 = 185,197,594 : x
  2. Step 2: Convert to fraction form
    84,912,973/185,197,594 = 185,197,594/x
  3. Step 3: Cross multiply
    84,912,973x = 185,197,594 × 185,197,594
  4. Step 4: Simplify right side
    84,912,973x = 34,298,148,823,388,836
  5. Step 5: Solve for x
    x = 34,298,148,823,388,836/84,912,973
  6. Step 6: Final answer
    x = 403,921,186.74

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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.