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Finding the Third Proportional to 67,035,951 and 102,502,543.50

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Solution

The third proportional to 67,035,951 and 102,502,543.50 is: 156,733,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,035,951 : 102,502,543.50 = 102,502,543.50 : x
  2. Step 2: Convert to fraction form
    67,035,951/102,502,543.50 = 102,502,543.50/x
  3. Step 3: Cross multiply
    67,035,951x = 102,502,543.50 × 102,502,543.50
  4. Step 4: Simplify right side
    67,035,951x = 10,506,771,423,969,392
  5. Step 5: Solve for x
    x = 10,506,771,423,969,392/67,035,951
  6. Step 6: Final answer
    x = 156,733,383.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.