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Finding the Third Proportional to 94,210,316 and 142,211,152

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Solution

The third proportional to 94,210,316 and 142,211,152 is: 214,668,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,210,316 : 142,211,152 = 142,211,152 : x
  2. Step 2: Convert to fraction form
    94,210,316/142,211,152 = 142,211,152/x
  3. Step 3: Cross multiply
    94,210,316x = 142,211,152 × 142,211,152
  4. Step 4: Simplify right side
    94,210,316x = 20,224,011,753,167,104
  5. Step 5: Solve for x
    x = 20,224,011,753,167,104/94,210,316
  6. Step 6: Final answer
    x = 214,668,760.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.