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Finding the Third Proportional to 183,828,468 and 398,293,884

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Solution

The third proportional to 183,828,468 and 398,293,884 is: 862,967,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,828,468 : 398,293,884 = 398,293,884 : x
  2. Step 2: Convert to fraction form
    183,828,468/398,293,884 = 398,293,884/x
  3. Step 3: Cross multiply
    183,828,468x = 398,293,884 × 398,293,884
  4. Step 4: Simplify right side
    183,828,468x = 158,638,018,031,805,440
  5. Step 5: Solve for x
    x = 158,638,018,031,805,440/183,828,468
  6. Step 6: Final answer
    x = 862,967,633.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.