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Finding the Third Proportional to 179,478,434 and 390,403,226

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Solution

The third proportional to 179,478,434 and 390,403,226 is: 849,208,874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,478,434 : 390,403,226 = 390,403,226 : x
  2. Step 2: Convert to fraction form
    179,478,434/390,403,226 = 390,403,226/x
  3. Step 3: Cross multiply
    179,478,434x = 390,403,226 × 390,403,226
  4. Step 4: Simplify right side
    179,478,434x = 152,414,678,871,207,072
  5. Step 5: Solve for x
    x = 152,414,678,871,207,072/179,478,434
  6. Step 6: Final answer
    x = 849,208,874.15

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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.