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Finding the Third Proportional to 82,153,818 and 117,472,545

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Solution

The third proportional to 82,153,818 and 117,472,545 is: 167,975,136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,153,818 : 117,472,545 = 117,472,545 : x
  2. Step 2: Convert to fraction form
    82,153,818/117,472,545 = 117,472,545/x
  3. Step 3: Cross multiply
    82,153,818x = 117,472,545 × 117,472,545
  4. Step 4: Simplify right side
    82,153,818x = 13,799,798,828,777,024
  5. Step 5: Solve for x
    x = 13,799,798,828,777,024/82,153,818
  6. Step 6: Final answer
    x = 167,975,136.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.