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Finding the Third Proportional to 142,058,848 and 311,768,664

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Solution

The third proportional to 142,058,848 and 311,768,664 is: 684,221,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,058,848 : 311,768,664 = 311,768,664 : x
  2. Step 2: Convert to fraction form
    142,058,848/311,768,664 = 311,768,664/x
  3. Step 3: Cross multiply
    142,058,848x = 311,768,664 × 311,768,664
  4. Step 4: Simplify right side
    142,058,848x = 97,199,699,852,344,896
  5. Step 5: Solve for x
    x = 97,199,699,852,344,896/142,058,848
  6. Step 6: Final answer
    x = 684,221,371.78

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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.