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Finding the Third Proportional to 234,341,498 and 510,343,168

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Solution

The third proportional to 234,341,498 and 510,343,168 is: 1,111,412,837.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,341,498 : 510,343,168 = 510,343,168 : x
  2. Step 2: Convert to fraction form
    234,341,498/510,343,168 = 510,343,168/x
  3. Step 3: Cross multiply
    234,341,498x = 510,343,168 × 510,343,168
  4. Step 4: Simplify right side
    234,341,498x = 260,450,149,124,276,224
  5. Step 5: Solve for x
    x = 260,450,149,124,276,224/234,341,498
  6. Step 6: Final answer
    x = 1,111,412,837.02

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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.