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Finding the Third Proportional to 153,133,640 and 235,377,182

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Solution

The third proportional to 153,133,640 and 235,377,182 is: 361,791,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,133,640 : 235,377,182 = 235,377,182 : x
  2. Step 2: Convert to fraction form
    153,133,640/235,377,182 = 235,377,182/x
  3. Step 3: Cross multiply
    153,133,640x = 235,377,182 × 235,377,182
  4. Step 4: Simplify right side
    153,133,640x = 55,402,417,806,261,120
  5. Step 5: Solve for x
    x = 55,402,417,806,261,120/153,133,640
  6. Step 6: Final answer
    x = 361,791,294.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.