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Finding the Third Proportional to 319,106,880 and 698,748,201

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Solution

The third proportional to 319,106,880 and 698,748,201 is: 1,530,048,642.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,106,880 : 698,748,201 = 698,748,201 : x
  2. Step 2: Convert to fraction form
    319,106,880/698,748,201 = 698,748,201/x
  3. Step 3: Cross multiply
    319,106,880x = 698,748,201 × 698,748,201
  4. Step 4: Simplify right side
    319,106,880x = 488,249,048,400,736,384
  5. Step 5: Solve for x
    x = 488,249,048,400,736,384/319,106,880
  6. Step 6: Final answer
    x = 1,530,048,642.01

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Why These Related Problems?

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