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Finding the Third Proportional to 130,871,173.50 and 283,553,024.63

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Solution

The third proportional to 130,871,173.50 and 283,553,024.63 is: 614,362,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,871,173.50 : 283,553,024.63 = 283,553,024.63 : x
  2. Step 2: Convert to fraction form
    130,871,173.50/283,553,024.63 = 283,553,024.63/x
  3. Step 3: Cross multiply
    130,871,173.50x = 283,553,024.63 × 283,553,024.63
  4. Step 4: Simplify right side
    130,871,173.50x = 80,402,317,773,985,856
  5. Step 5: Solve for x
    x = 80,402,317,773,985,856/130,871,173.50
  6. Step 6: Final answer
    x = 614,362,320.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.