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Finding the Third Proportional to 46,882,089 and 101,343,798

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Solution

The third proportional to 46,882,089 and 101,343,798 is: 219,072,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,882,089 : 101,343,798 = 101,343,798 : x
  2. Step 2: Convert to fraction form
    46,882,089/101,343,798 = 101,343,798/x
  3. Step 3: Cross multiply
    46,882,089x = 101,343,798 × 101,343,798
  4. Step 4: Simplify right side
    46,882,089x = 10,270,565,393,064,804
  5. Step 5: Solve for x
    x = 10,270,565,393,064,804/46,882,089
  6. Step 6: Final answer
    x = 219,072,264.32

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Why These Related Problems?

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