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Finding the Third Proportional to 103,658,475 and 239,975,742

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Solution

The third proportional to 103,658,475 and 239,975,742 is: 555,558,595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658,475 : 239,975,742 = 239,975,742 : x
  2. Step 2: Convert to fraction form
    103,658,475/239,975,742 = 239,975,742/x
  3. Step 3: Cross multiply
    103,658,475x = 239,975,742 × 239,975,742
  4. Step 4: Simplify right side
    103,658,475x = 57,588,356,748,450,560
  5. Step 5: Solve for x
    x = 57,588,356,748,450,560/103,658,475
  6. Step 6: Final answer
    x = 555,558,595.17

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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.