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Finding the Third Proportional to 189,598,916 and 406,071,652

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Solution

The third proportional to 189,598,916 and 406,071,652 is: 869,700,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,598,916 : 406,071,652 = 406,071,652 : x
  2. Step 2: Convert to fraction form
    189,598,916/406,071,652 = 406,071,652/x
  3. Step 3: Cross multiply
    189,598,916x = 406,071,652 × 406,071,652
  4. Step 4: Simplify right side
    189,598,916x = 164,894,186,558,009,088
  5. Step 5: Solve for x
    x = 164,894,186,558,009,088/189,598,916
  6. Step 6: Final answer
    x = 869,700,049.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.