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Finding the Third Proportional to 94,652,884 and 145,398,417

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Solution

The third proportional to 94,652,884 and 145,398,417 is: 223,349,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,652,884 : 145,398,417 = 145,398,417 : x
  2. Step 2: Convert to fraction form
    94,652,884/145,398,417 = 145,398,417/x
  3. Step 3: Cross multiply
    94,652,884x = 145,398,417 × 145,398,417
  4. Step 4: Simplify right side
    94,652,884x = 21,140,699,666,105,888
  5. Step 5: Solve for x
    x = 21,140,699,666,105,888/94,652,884
  6. Step 6: Final answer
    x = 223,349,767.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.