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Finding the Third Proportional to 133,729,110 and 291,199,072

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Solution

The third proportional to 133,729,110 and 291,199,072 is: 634,094,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,729,110 : 291,199,072 = 291,199,072 : x
  2. Step 2: Convert to fraction form
    133,729,110/291,199,072 = 291,199,072/x
  3. Step 3: Cross multiply
    133,729,110x = 291,199,072 × 291,199,072
  4. Step 4: Simplify right side
    133,729,110x = 84,796,899,533,661,184
  5. Step 5: Solve for x
    x = 84,796,899,533,661,184/133,729,110
  6. Step 6: Final answer
    x = 634,094,547.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.