Home / 212,714,246.81-462,698,254.13

Finding the Third Proportional to 212,714,246.81 and 462,698,254.13

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Solution

The third proportional to 212,714,246.81 and 462,698,254.13 is: 1,006,466,081.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,714,246.81 : 462,698,254.13 = 462,698,254.13 : x
  2. Step 2: Convert to fraction form
    212,714,246.81/462,698,254.13 = 462,698,254.13/x
  3. Step 3: Cross multiply
    212,714,246.81x = 462,698,254.13 × 462,698,254.13
  4. Step 4: Simplify right side
    212,714,246.81x = 214,089,674,370,323,072
  5. Step 5: Solve for x
    x = 214,089,674,370,323,072/212,714,246.81
  6. Step 6: Final answer
    x = 1,006,466,081.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.