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Finding the Third Proportional to 200,279,632 and 429,303,248

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Solution

The third proportional to 200,279,632 and 429,303,248 is: 920,219,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,279,632 : 429,303,248 = 429,303,248 : x
  2. Step 2: Convert to fraction form
    200,279,632/429,303,248 = 429,303,248/x
  3. Step 3: Cross multiply
    200,279,632x = 429,303,248 × 429,303,248
  4. Step 4: Simplify right side
    200,279,632x = 184,301,278,743,349,504
  5. Step 5: Solve for x
    x = 184,301,278,743,349,504/200,279,632
  6. Step 6: Final answer
    x = 920,219,779.23

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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.