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Finding the Third Proportional to 46,714,237.31 and 102,225,968.16

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Solution

The third proportional to 46,714,237.31 and 102,225,968.16 is: 223,703,717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,714,237.31 : 102,225,968.16 = 102,225,968.16 : x
  2. Step 2: Convert to fraction form
    46,714,237.31/102,225,968.16 = 102,225,968.16/x
  3. Step 3: Cross multiply
    46,714,237.31x = 102,225,968.16 × 102,225,968.16
  4. Step 4: Simplify right side
    46,714,237.31x = 10,450,148,565,482,640
  5. Step 5: Solve for x
    x = 10,450,148,565,482,640/46,714,237.31
  6. Step 6: Final answer
    x = 223,703,717.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.