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Finding the Third Proportional to 77,051,169 and 105,655,873.50

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Solution

The third proportional to 77,051,169 and 105,655,873.50 is: 144,879,873.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,051,169 : 105,655,873.50 = 105,655,873.50 : x
  2. Step 2: Convert to fraction form
    77,051,169/105,655,873.50 = 105,655,873.50/x
  3. Step 3: Cross multiply
    77,051,169x = 105,655,873.50 × 105,655,873.50
  4. Step 4: Simplify right side
    77,051,169x = 11,163,163,605,048,002
  5. Step 5: Solve for x
    x = 11,163,163,605,048,002/77,051,169
  6. Step 6: Final answer
    x = 144,879,873.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.