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Finding the Third Proportional to 121,901,082 and 260,334,426

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Solution

The third proportional to 121,901,082 and 260,334,426 is: 555,975,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,901,082 : 260,334,426 = 260,334,426 : x
  2. Step 2: Convert to fraction form
    121,901,082/260,334,426 = 260,334,426/x
  3. Step 3: Cross multiply
    121,901,082x = 260,334,426 × 260,334,426
  4. Step 4: Simplify right side
    121,901,082x = 67,774,013,360,749,472
  5. Step 5: Solve for x
    x = 67,774,013,360,749,472/121,901,082
  6. Step 6: Final answer
    x = 555,975,486.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.