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Finding the Third Proportional to 103,658,320 and 239,975,356

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Solution

The third proportional to 103,658,320 and 239,975,356 is: 555,557,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658,320 : 239,975,356 = 239,975,356 : x
  2. Step 2: Convert to fraction form
    103,658,320/239,975,356 = 239,975,356/x
  3. Step 3: Cross multiply
    103,658,320x = 239,975,356 × 239,975,356
  4. Step 4: Simplify right side
    103,658,320x = 57,588,171,487,326,736
  5. Step 5: Solve for x
    x = 57,588,171,487,326,736/103,658,320
  6. Step 6: Final answer
    x = 555,557,638.67

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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.