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Finding the Third Proportional to 142,408,724 and 292,366,972

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Solution

The third proportional to 142,408,724 and 292,366,972 is: 600,233,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,408,724 : 292,366,972 = 292,366,972 : x
  2. Step 2: Convert to fraction form
    142,408,724/292,366,972 = 292,366,972/x
  3. Step 3: Cross multiply
    142,408,724x = 292,366,972 × 292,366,972
  4. Step 4: Simplify right side
    142,408,724x = 85,478,446,316,448,784
  5. Step 5: Solve for x
    x = 85,478,446,316,448,784/142,408,724
  6. Step 6: Final answer
    x = 600,233,215.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.