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Finding the Third Proportional to 155,421,822 and 340,045,152

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Solution

The third proportional to 155,421,822 and 340,045,152 is: 743,979,860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,421,822 : 340,045,152 = 340,045,152 : x
  2. Step 2: Convert to fraction form
    155,421,822/340,045,152 = 340,045,152/x
  3. Step 3: Cross multiply
    155,421,822x = 340,045,152 × 340,045,152
  4. Step 4: Simplify right side
    155,421,822x = 115,630,705,398,703,104
  5. Step 5: Solve for x
    x = 115,630,705,398,703,104/155,421,822
  6. Step 6: Final answer
    x = 743,979,860.17

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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.