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Finding the Third Proportional to 113,282,758.50 and 243,996,502.50

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Solution

The third proportional to 113,282,758.50 and 243,996,502.50 is: 525,537,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,282,758.50 : 243,996,502.50 = 243,996,502.50 : x
  2. Step 2: Convert to fraction form
    113,282,758.50/243,996,502.50 = 243,996,502.50/x
  3. Step 3: Cross multiply
    113,282,758.50x = 243,996,502.50 × 243,996,502.50
  4. Step 4: Simplify right side
    113,282,758.50x = 59,534,293,232,232,504
  5. Step 5: Solve for x
    x = 59,534,293,232,232,504/113,282,758.50
  6. Step 6: Final answer
    x = 525,537,107.50

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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.