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Finding the Third Proportional to 151,012,547 and 233,194,920

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Solution

The third proportional to 151,012,547 and 233,194,920 is: 360,101,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,012,547 : 233,194,920 = 233,194,920 : x
  2. Step 2: Convert to fraction form
    151,012,547/233,194,920 = 233,194,920/x
  3. Step 3: Cross multiply
    151,012,547x = 233,194,920 × 233,194,920
  4. Step 4: Simplify right side
    151,012,547x = 54,379,870,713,806,400
  5. Step 5: Solve for x
    x = 54,379,870,713,806,400/151,012,547
  6. Step 6: Final answer
    x = 360,101,672.31

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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.