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Finding the Third Proportional to 142,145,768 and 214,968,252

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Solution

The third proportional to 142,145,768 and 214,968,252 is: 325,098,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,145,768 : 214,968,252 = 214,968,252 : x
  2. Step 2: Convert to fraction form
    142,145,768/214,968,252 = 214,968,252/x
  3. Step 3: Cross multiply
    142,145,768x = 214,968,252 × 214,968,252
  4. Step 4: Simplify right side
    142,145,768x = 46,211,349,367,935,504
  5. Step 5: Solve for x
    x = 46,211,349,367,935,504/142,145,768
  6. Step 6: Final answer
    x = 325,098,312.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.