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Finding the Third Proportional to 97,006,435.31 and 209,398,415.63

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Solution

The third proportional to 97,006,435.31 and 209,398,415.63 is: 452,008,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,006,435.31 : 209,398,415.63 = 209,398,415.63 : x
  2. Step 2: Convert to fraction form
    97,006,435.31/209,398,415.63 = 209,398,415.63/x
  3. Step 3: Cross multiply
    97,006,435.31x = 209,398,415.63 × 209,398,415.63
  4. Step 4: Simplify right side
    97,006,435.31x = 43,847,696,466,260,248
  5. Step 5: Solve for x
    x = 43,847,696,466,260,248/97,006,435.31
  6. Step 6: Final answer
    x = 452,008,120.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.