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Finding the Third Proportional to 106,353,784,116 and 229,688,639,893.50

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Solution

The third proportional to 106,353,784,116 and 229,688,639,893.50 is: 496,050,721,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,353,784,116 : 229,688,639,893.50 = 229,688,639,893.50 : x
  2. Step 2: Convert to fraction form
    106,353,784,116/229,688,639,893.50 = 229,688,639,893.50/x
  3. Step 3: Cross multiply
    106,353,784,116x = 229,688,639,893.50 × 229,688,639,893.50
  4. Step 4: Simplify right side
    106,353,784,116x = 52,756,871,296,125,920,870,400
  5. Step 5: Solve for x
    x = 52,756,871,296,125,920,870,400/106,353,784,116
  6. Step 6: Final answer
    x = 496,050,721,040.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.