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Finding the Third Proportional to 75,406,690 and 115,301,356

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Solution

The third proportional to 75,406,690 and 115,301,356 is: 176,302,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,406,690 : 115,301,356 = 115,301,356 : x
  2. Step 2: Convert to fraction form
    75,406,690/115,301,356 = 115,301,356/x
  3. Step 3: Cross multiply
    75,406,690x = 115,301,356 × 115,301,356
  4. Step 4: Simplify right side
    75,406,690x = 13,294,402,695,438,736
  5. Step 5: Solve for x
    x = 13,294,402,695,438,736/75,406,690
  6. Step 6: Final answer
    x = 176,302,695.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.