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Finding the Third Proportional to 234,967,122 and 508,985,316

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Solution

The third proportional to 234,967,122 and 508,985,316 is: 1,102,562,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,967,122 : 508,985,316 = 508,985,316 : x
  2. Step 2: Convert to fraction form
    234,967,122/508,985,316 = 508,985,316/x
  3. Step 3: Cross multiply
    234,967,122x = 508,985,316 × 508,985,316
  4. Step 4: Simplify right side
    234,967,122x = 259,066,051,903,619,840
  5. Step 5: Solve for x
    x = 259,066,051,903,619,840/234,967,122
  6. Step 6: Final answer
    x = 1,102,562,987.10

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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.