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Finding the Third Proportional to 153,998,322 and 234,876,265.50

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Solution

The third proportional to 153,998,322 and 234,876,265.50 is: 358,230,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,998,322 : 234,876,265.50 = 234,876,265.50 : x
  2. Step 2: Convert to fraction form
    153,998,322/234,876,265.50 = 234,876,265.50/x
  3. Step 3: Cross multiply
    153,998,322x = 234,876,265.50 × 234,876,265.50
  4. Step 4: Simplify right side
    153,998,322x = 55,166,860,095,226,488
  5. Step 5: Solve for x
    x = 55,166,860,095,226,488/153,998,322
  6. Step 6: Final answer
    x = 358,230,267.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.