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Finding the Third Proportional to 77,359,953.38 and 117,036,518.63

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Solution

The third proportional to 77,359,953.38 and 117,036,518.63 is: 177,062,499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,359,953.38 : 117,036,518.63 = 117,036,518.63 : x
  2. Step 2: Convert to fraction form
    77,359,953.38/117,036,518.63 = 117,036,518.63/x
  3. Step 3: Cross multiply
    77,359,953.38x = 117,036,518.63 × 117,036,518.63
  4. Step 4: Simplify right side
    77,359,953.38x = 13,697,546,691,859,972
  5. Step 5: Solve for x
    x = 13,697,546,691,859,972/77,359,953.38
  6. Step 6: Final answer
    x = 177,062,499.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.