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Finding the Third Proportional to 261,742,396 and 567,106,160

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Solution

The third proportional to 261,742,396 and 567,106,160 is: 1,228,724,889.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,742,396 : 567,106,160 = 567,106,160 : x
  2. Step 2: Convert to fraction form
    261,742,396/567,106,160 = 567,106,160/x
  3. Step 3: Cross multiply
    261,742,396x = 567,106,160 × 567,106,160
  4. Step 4: Simplify right side
    261,742,396x = 321,609,396,709,945,600
  5. Step 5: Solve for x
    x = 321,609,396,709,945,600/261,742,396
  6. Step 6: Final answer
    x = 1,228,724,889.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.