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Finding the Third Proportional to 109,064,681.25 and 238,652,197.50

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Solution

The third proportional to 109,064,681.25 and 238,652,197.50 is: 522,211,872.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,064,681.25 : 238,652,197.50 = 238,652,197.50 : x
  2. Step 2: Convert to fraction form
    109,064,681.25/238,652,197.50 = 238,652,197.50/x
  3. Step 3: Cross multiply
    109,064,681.25x = 238,652,197.50 × 238,652,197.50
  4. Step 4: Simplify right side
    109,064,681.25x = 56,954,871,371,579,008
  5. Step 5: Solve for x
    x = 56,954,871,371,579,008/109,064,681.25
  6. Step 6: Final answer
    x = 522,211,872.06

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Why These Related Problems?

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