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Finding the Third Proportional to 216,343,058 and 510,192,484

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Solution

The third proportional to 216,343,058 and 510,192,484 is: 1,203,164,886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,343,058 : 510,192,484 = 510,192,484 : x
  2. Step 2: Convert to fraction form
    216,343,058/510,192,484 = 510,192,484/x
  3. Step 3: Cross multiply
    216,343,058x = 510,192,484 × 510,192,484
  4. Step 4: Simplify right side
    216,343,058x = 260,296,370,730,090,240
  5. Step 5: Solve for x
    x = 260,296,370,730,090,240/216,343,058
  6. Step 6: Final answer
    x = 1,203,164,886.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.