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Finding the Third Proportional to 212,166,152 and 455,333,056

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Solution

The third proportional to 212,166,152 and 455,333,056 is: 977,197,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,166,152 : 455,333,056 = 455,333,056 : x
  2. Step 2: Convert to fraction form
    212,166,152/455,333,056 = 455,333,056/x
  3. Step 3: Cross multiply
    212,166,152x = 455,333,056 × 455,333,056
  4. Step 4: Simplify right side
    212,166,152x = 207,328,191,886,299,136
  5. Step 5: Solve for x
    x = 207,328,191,886,299,136/212,166,152
  6. Step 6: Final answer
    x = 977,197,304.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.