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Finding the Third Proportional to 134,122,072 and 293,351,984

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Solution

The third proportional to 134,122,072 and 293,351,984 is: 641,619,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,122,072 : 293,351,984 = 293,351,984 : x
  2. Step 2: Convert to fraction form
    134,122,072/293,351,984 = 293,351,984/x
  3. Step 3: Cross multiply
    134,122,072x = 293,351,984 × 293,351,984
  4. Step 4: Simplify right side
    134,122,072x = 86,055,386,516,736,256
  5. Step 5: Solve for x
    x = 86,055,386,516,736,256/134,122,072
  6. Step 6: Final answer
    x = 641,619,870.86

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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.