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Finding the Third Proportional to 109,097,421 and 163,485,742.50

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Solution

The third proportional to 109,097,421 and 163,485,742.50 is: 244,988,266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,097,421 : 163,485,742.50 = 163,485,742.50 : x
  2. Step 2: Convert to fraction form
    109,097,421/163,485,742.50 = 163,485,742.50/x
  3. Step 3: Cross multiply
    109,097,421x = 163,485,742.50 × 163,485,742.50
  4. Step 4: Simplify right side
    109,097,421x = 26,727,588,000,776,308
  5. Step 5: Solve for x
    x = 26,727,588,000,776,308/109,097,421
  6. Step 6: Final answer
    x = 244,988,266.05

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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.