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Finding the Third Proportional to 103,658,457 and 239,975,697

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Solution

The third proportional to 103,658,457 and 239,975,697 is: 555,558,483.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658,457 : 239,975,697 = 239,975,697 : x
  2. Step 2: Convert to fraction form
    103,658,457/239,975,697 = 239,975,697/x
  3. Step 3: Cross multiply
    103,658,457x = 239,975,697 × 239,975,697
  4. Step 4: Simplify right side
    103,658,457x = 57,588,335,150,635,808
  5. Step 5: Solve for x
    x = 57,588,335,150,635,808/103,658,457
  6. Step 6: Final answer
    x = 555,558,483.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.