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Finding the Third Proportional to 113,282,758.13 and 243,996,503.06

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Solution

The third proportional to 113,282,758.13 and 243,996,503.06 is: 525,537,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,282,758.13 : 243,996,503.06 = 243,996,503.06 : x
  2. Step 2: Convert to fraction form
    113,282,758.13/243,996,503.06 = 243,996,503.06/x
  3. Step 3: Cross multiply
    113,282,758.13x = 243,996,503.06 × 243,996,503.06
  4. Step 4: Simplify right side
    113,282,758.13x = 59,534,293,506,728,568
  5. Step 5: Solve for x
    x = 59,534,293,506,728,568/113,282,758.13
  6. Step 6: Final answer
    x = 525,537,111.67

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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.