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Finding the Third Proportional to 179,478,906 and 390,404,226

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Solution

The third proportional to 179,478,906 and 390,404,226 is: 849,210,991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,478,906 : 390,404,226 = 390,404,226 : x
  2. Step 2: Convert to fraction form
    179,478,906/390,404,226 = 390,404,226/x
  3. Step 3: Cross multiply
    179,478,906x = 390,404,226 × 390,404,226
  4. Step 4: Simplify right side
    179,478,906x = 152,415,459,678,659,072
  5. Step 5: Solve for x
    x = 152,415,459,678,659,072/179,478,906
  6. Step 6: Final answer
    x = 849,210,991.28

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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.