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Finding the Third Proportional to 123,964,280 and 270,249,106

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Solution

The third proportional to 123,964,280 and 270,249,106 is: 589,158,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,964,280 : 270,249,106 = 270,249,106 : x
  2. Step 2: Convert to fraction form
    123,964,280/270,249,106 = 270,249,106/x
  3. Step 3: Cross multiply
    123,964,280x = 270,249,106 × 270,249,106
  4. Step 4: Simplify right side
    123,964,280x = 73,034,579,293,799,232
  5. Step 5: Solve for x
    x = 73,034,579,293,799,232/123,964,280
  6. Step 6: Final answer
    x = 589,158,258.28

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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.