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Finding the Third Proportional to 64,926,309 and 97,184,695.50

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Solution

The third proportional to 64,926,309 and 97,184,695.50 is: 145,470,537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,926,309 : 97,184,695.50 = 97,184,695.50 : x
  2. Step 2: Convert to fraction form
    64,926,309/97,184,695.50 = 97,184,695.50/x
  3. Step 3: Cross multiply
    64,926,309x = 97,184,695.50 × 97,184,695.50
  4. Step 4: Simplify right side
    64,926,309x = 9,444,865,039,427,720
  5. Step 5: Solve for x
    x = 9,444,865,039,427,720/64,926,309
  6. Step 6: Final answer
    x = 145,470,537.06

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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.