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Finding the Third Proportional to 158,707,854,492 and 342,662,679,744

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Solution

The third proportional to 158,707,854,492 and 342,662,679,744 is: 739,835,545,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,707,854,492 : 342,662,679,744 = 342,662,679,744 : x
  2. Step 2: Convert to fraction form
    158,707,854,492/342,662,679,744 = 342,662,679,744/x
  3. Step 3: Cross multiply
    158,707,854,492x = 342,662,679,744 × 342,662,679,744
  4. Step 4: Simplify right side
    158,707,854,492x = 117,417,712,089,339,109,834,752
  5. Step 5: Solve for x
    x = 117,417,712,089,339,109,834,752/158,707,854,492
  6. Step 6: Final answer
    x = 739,835,545,412.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.