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Finding the Third Proportional to 133,082,436.75 and 291,210,397.50

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Solution

The third proportional to 133,082,436.75 and 291,210,397.50 is: 637,225,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,082,436.75 : 291,210,397.50 = 291,210,397.50 : x
  2. Step 2: Convert to fraction form
    133,082,436.75/291,210,397.50 = 291,210,397.50/x
  3. Step 3: Cross multiply
    133,082,436.75x = 291,210,397.50 × 291,210,397.50
  4. Step 4: Simplify right side
    133,082,436.75x = 84,803,495,612,108,000
  5. Step 5: Solve for x
    x = 84,803,495,612,108,000/133,082,436.75
  6. Step 6: Final answer
    x = 637,225,299.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.