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Finding the Third Proportional to 212,813,294.63 and 320,742,124.31

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Solution

The third proportional to 212,813,294.63 and 320,742,124.31 is: 483,407,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,813,294.63 : 320,742,124.31 = 320,742,124.31 : x
  2. Step 2: Convert to fraction form
    212,813,294.63/320,742,124.31 = 320,742,124.31/x
  3. Step 3: Cross multiply
    212,813,294.63x = 320,742,124.31 × 320,742,124.31
  4. Step 4: Simplify right side
    212,813,294.63x = 102,875,510,308,495,200
  5. Step 5: Solve for x
    x = 102,875,510,308,495,200/212,813,294.63
  6. Step 6: Final answer
    x = 483,407,347.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.