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Finding the Third Proportional to 175,574,352 and 385,902,564

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Solution

The third proportional to 175,574,352 and 385,902,564 is: 848,192,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,574,352 : 385,902,564 = 385,902,564 : x
  2. Step 2: Convert to fraction form
    175,574,352/385,902,564 = 385,902,564/x
  3. Step 3: Cross multiply
    175,574,352x = 385,902,564 × 385,902,564
  4. Step 4: Simplify right side
    175,574,352x = 148,920,788,901,774,080
  5. Step 5: Solve for x
    x = 148,920,788,901,774,080/175,574,352
  6. Step 6: Final answer
    x = 848,192,160.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.