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Finding the Third Proportional to 92,033,307 and 146,513,835

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Solution

The third proportional to 92,033,307 and 146,513,835 is: 233,244,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,033,307 : 146,513,835 = 146,513,835 : x
  2. Step 2: Convert to fraction form
    92,033,307/146,513,835 = 146,513,835/x
  3. Step 3: Cross multiply
    92,033,307x = 146,513,835 × 146,513,835
  4. Step 4: Simplify right side
    92,033,307x = 21,466,303,846,407,224
  5. Step 5: Solve for x
    x = 21,466,303,846,407,224/92,033,307
  6. Step 6: Final answer
    x = 233,244,947.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.