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Finding the Third Proportional to 205,462,536 and 427,931,152

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Solution

The third proportional to 205,462,536 and 427,931,152 is: 891,282,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,462,536 : 427,931,152 = 427,931,152 : x
  2. Step 2: Convert to fraction form
    205,462,536/427,931,152 = 427,931,152/x
  3. Step 3: Cross multiply
    205,462,536x = 427,931,152 × 427,931,152
  4. Step 4: Simplify right side
    205,462,536x = 183,125,070,852,047,104
  5. Step 5: Solve for x
    x = 183,125,070,852,047,104/205,462,536
  6. Step 6: Final answer
    x = 891,282,052.76

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.