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Finding the Third Proportional to 133,069,837.50 and 291,225,020.63

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Solution

The third proportional to 133,069,837.50 and 291,225,020.63 is: 637,349,637.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,069,837.50 : 291,225,020.63 = 291,225,020.63 : x
  2. Step 2: Convert to fraction form
    133,069,837.50/291,225,020.63 = 291,225,020.63/x
  3. Step 3: Cross multiply
    133,069,837.50x = 291,225,020.63 × 291,225,020.63
  4. Step 4: Simplify right side
    133,069,837.50x = 84,812,012,638,031,680
  5. Step 5: Solve for x
    x = 84,812,012,638,031,680/133,069,837.50
  6. Step 6: Final answer
    x = 637,349,637.09

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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.