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Finding the Third Proportional to 145,657,248 and 312,090,464

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Solution

The third proportional to 145,657,248 and 312,090,464 is: 668,696,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,657,248 : 312,090,464 = 312,090,464 : x
  2. Step 2: Convert to fraction form
    145,657,248/312,090,464 = 312,090,464/x
  3. Step 3: Cross multiply
    145,657,248x = 312,090,464 × 312,090,464
  4. Step 4: Simplify right side
    145,657,248x = 97,400,457,719,735,296
  5. Step 5: Solve for x
    x = 97,400,457,719,735,296/145,657,248
  6. Step 6: Final answer
    x = 668,696,265.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.