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Finding the Third Proportional to 97,146,186 and 210,434,916

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Solution

The third proportional to 97,146,186 and 210,434,916 is: 455,837,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,146,186 : 210,434,916 = 210,434,916 : x
  2. Step 2: Convert to fraction form
    97,146,186/210,434,916 = 210,434,916/x
  3. Step 3: Cross multiply
    97,146,186x = 210,434,916 × 210,434,916
  4. Step 4: Simplify right side
    97,146,186x = 44,282,853,871,927,056
  5. Step 5: Solve for x
    x = 44,282,853,871,927,056/97,146,186
  6. Step 6: Final answer
    x = 455,837,287.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.