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Finding the Third Proportional to 182,458,030.50 and 377,850,799.13

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Solution

The third proportional to 182,458,030.50 and 377,850,799.13 is: 782,488,038.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,458,030.50 : 377,850,799.13 = 377,850,799.13 : x
  2. Step 2: Convert to fraction form
    182,458,030.50/377,850,799.13 = 377,850,799.13/x
  3. Step 3: Cross multiply
    182,458,030.50x = 377,850,799.13 × 377,850,799.13
  4. Step 4: Simplify right side
    182,458,030.50x = 142,771,226,399,401,104
  5. Step 5: Solve for x
    x = 142,771,226,399,401,104/182,458,030.50
  6. Step 6: Final answer
    x = 782,488,038.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.