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Finding the Third Proportional to 71,683,980 and 157,302,544

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Solution

The third proportional to 71,683,980 and 157,302,544 is: 345,182,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,683,980 : 157,302,544 = 157,302,544 : x
  2. Step 2: Convert to fraction form
    71,683,980/157,302,544 = 157,302,544/x
  3. Step 3: Cross multiply
    71,683,980x = 157,302,544 × 157,302,544
  4. Step 4: Simplify right side
    71,683,980x = 24,744,090,348,871,936
  5. Step 5: Solve for x
    x = 24,744,090,348,871,936/71,683,980
  6. Step 6: Final answer
    x = 345,182,987.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.