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Finding the Third Proportional to 108,607,020,709 and 233,812,575,027

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Solution

The third proportional to 108,607,020,709 and 233,812,575,027 is: 503,358,989,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,607,020,709 : 233,812,575,027 = 233,812,575,027 : x
  2. Step 2: Convert to fraction form
    108,607,020,709/233,812,575,027 = 233,812,575,027/x
  3. Step 3: Cross multiply
    108,607,020,709x = 233,812,575,027 × 233,812,575,027
  4. Step 4: Simplify right side
    108,607,020,709x = 54,668,320,240,756,500,463,616
  5. Step 5: Solve for x
    x = 54,668,320,240,756,500,463,616/108,607,020,709
  6. Step 6: Final answer
    x = 503,358,989,905.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.