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Finding the Third Proportional to 91,537,398 and 138,157,346.25

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Solution

The third proportional to 91,537,398 and 138,157,346.25 is: 208,520,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,537,398 : 138,157,346.25 = 138,157,346.25 : x
  2. Step 2: Convert to fraction form
    91,537,398/138,157,346.25 = 138,157,346.25/x
  3. Step 3: Cross multiply
    91,537,398x = 138,157,346.25 × 138,157,346.25
  4. Step 4: Simplify right side
    91,537,398x = 19,087,452,322,842,388
  5. Step 5: Solve for x
    x = 19,087,452,322,842,388/91,537,398
  6. Step 6: Final answer
    x = 208,520,809.42

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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.