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Finding the Third Proportional to 176,503,843.50 and 384,788,308.50

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Solution

The third proportional to 176,503,843.50 and 384,788,308.50 is: 838,860,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,503,843.50 : 384,788,308.50 = 384,788,308.50 : x
  2. Step 2: Convert to fraction form
    176,503,843.50/384,788,308.50 = 384,788,308.50/x
  3. Step 3: Cross multiply
    176,503,843.50x = 384,788,308.50 × 384,788,308.50
  4. Step 4: Simplify right side
    176,503,843.50x = 148,062,042,358,291,168
  5. Step 5: Solve for x
    x = 148,062,042,358,291,168/176,503,843.50
  6. Step 6: Final answer
    x = 838,860,159.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.