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Finding the Third Proportional to 176,503,835.25 and 384,788,291.63

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Solution

The third proportional to 176,503,835.25 and 384,788,291.63 is: 838,860,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,503,835.25 : 384,788,291.63 = 384,788,291.63 : x
  2. Step 2: Convert to fraction form
    176,503,835.25/384,788,291.63 = 384,788,291.63/x
  3. Step 3: Cross multiply
    176,503,835.25x = 384,788,291.63 × 384,788,291.63
  4. Step 4: Simplify right side
    176,503,835.25x = 148,062,029,371,686,048
  5. Step 5: Solve for x
    x = 148,062,029,371,686,048/176,503,835.25
  6. Step 6: Final answer
    x = 838,860,125.40

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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.