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Finding the Third Proportional to 76,624,926 and 114,825,303

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Solution

The third proportional to 76,624,926 and 114,825,303 is: 172,069,989.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,624,926 : 114,825,303 = 114,825,303 : x
  2. Step 2: Convert to fraction form
    76,624,926/114,825,303 = 114,825,303/x
  3. Step 3: Cross multiply
    76,624,926x = 114,825,303 × 114,825,303
  4. Step 4: Simplify right side
    76,624,926x = 13,184,850,209,041,808
  5. Step 5: Solve for x
    x = 13,184,850,209,041,808/76,624,926
  6. Step 6: Final answer
    x = 172,069,989.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.