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Finding the Third Proportional to 212,412,164 and 328,051,504

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Solution

The third proportional to 212,412,164 and 328,051,504 is: 506,646,075.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,412,164 : 328,051,504 = 328,051,504 : x
  2. Step 2: Convert to fraction form
    212,412,164/328,051,504 = 328,051,504/x
  3. Step 3: Cross multiply
    212,412,164x = 328,051,504 × 328,051,504
  4. Step 4: Simplify right side
    212,412,164x = 107,617,789,276,662,016
  5. Step 5: Solve for x
    x = 107,617,789,276,662,016/212,412,164
  6. Step 6: Final answer
    x = 506,646,075.49

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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.