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Finding the Third Proportional to 177,319,304,159 and 264,816,998,432

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Solution

The third proportional to 177,319,304,159 and 264,816,998,432 is: 395,490,175,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,319,304,159 : 264,816,998,432 = 264,816,998,432 : x
  2. Step 2: Convert to fraction form
    177,319,304,159/264,816,998,432 = 264,816,998,432/x
  3. Step 3: Cross multiply
    177,319,304,159x = 264,816,998,432 × 264,816,998,432
  4. Step 4: Simplify right side
    177,319,304,159x = 70,128,042,658,533,891,637,248
  5. Step 5: Solve for x
    x = 70,128,042,658,533,891,637,248/177,319,304,159
  6. Step 6: Final answer
    x = 395,490,175,145.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.