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Finding the Third Proportional to 114,051,280 and 164,784,440

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Solution

The third proportional to 114,051,280 and 164,784,440 is: 238,085,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,051,280 : 164,784,440 = 164,784,440 : x
  2. Step 2: Convert to fraction form
    114,051,280/164,784,440 = 164,784,440/x
  3. Step 3: Cross multiply
    114,051,280x = 164,784,440 × 164,784,440
  4. Step 4: Simplify right side
    114,051,280x = 27,153,911,666,113,600
  5. Step 5: Solve for x
    x = 27,153,911,666,113,600/114,051,280
  6. Step 6: Final answer
    x = 238,085,111.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.