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Finding the Third Proportional to 139,109,058,760.50 and 301,317,337,752.75

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Solution

The third proportional to 139,109,058,760.50 and 301,317,337,752.75 is: 652,668,768,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,109,058,760.50 : 301,317,337,752.75 = 301,317,337,752.75 : x
  2. Step 2: Convert to fraction form
    139,109,058,760.50/301,317,337,752.75 = 301,317,337,752.75/x
  3. Step 3: Cross multiply
    139,109,058,760.50x = 301,317,337,752.75 × 301,317,337,752.75
  4. Step 4: Simplify right side
    139,109,058,760.50x = 90,792,138,030,404,817,911,808
  5. Step 5: Solve for x
    x = 90,792,138,030,404,817,911,808/139,109,058,760.50
  6. Step 6: Final answer
    x = 652,668,768,226.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.