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Finding the Third Proportional to 153,350,822 and 330,085,046

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Solution

The third proportional to 153,350,822 and 330,085,046 is: 710,502,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,350,822 : 330,085,046 = 330,085,046 : x
  2. Step 2: Convert to fraction form
    153,350,822/330,085,046 = 330,085,046/x
  3. Step 3: Cross multiply
    153,350,822x = 330,085,046 × 330,085,046
  4. Step 4: Simplify right side
    153,350,822x = 108,956,137,592,822,112
  5. Step 5: Solve for x
    x = 108,956,137,592,822,112/153,350,822
  6. Step 6: Final answer
    x = 710,502,468.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.